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Brownawell, W. Dale

On the Gelfond-Feldman measure of algebraic independence. (English) Zbl 0402.10039

Compos. Math. 38, 355-368 (1979).
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scan of Zbl 0402.10039

Cited in 3 Reviews
Cited in 5 Documents

MSC:

11J85 Algebraic independence; Gel’fond’s method
11J81 Transcendence (general theory)

Keywords:

Algebraic Independence; Simultaneous Approximation; Transcendence Measure

Citations:

Zbl 0048.033; Zbl 0038.193; Zbl 0295.10027; Zbl 0361.10030
Cite Review PDF
Full Text: Numdam EuDML

References:

[1] W.D. Brownawell : Gelfond’s method for algebraic independence . Trans. A.M.S. 210 (1975) 1-26. · Zbl 0312.10022 · doi:10.2307/1997119
[2] W.D. Brownawell : Pairs of polynomials small at a number to certain algebraic powers , Séminaire DELANGE PISOT POITOU, 17e année (1975/76) n^\circ 11. · Zbl 0351.10022
[3] W.D. Brownawell : Some remarks on semi-resultants , pp. 205-210, in Advances in Transcendence Theory , A. Baker and D.W. Masser, eds., Academic Press, 1977. · Zbl 0361.10031
[4] W.D. Brownawell and M. Waldschmidt : The algebraic independence of certain numbers to algebraic powers . Acta Arith. 32 (1977), 63-71. · Zbl 0357.10018
[5] G.V. Choodnovsky : Algebraic independence of some values of the exponential function , Mat. Zametki 5 (1974) 661-672 [English translation: Math Notes 15 (1974) 391-398]. · Zbl 0295.10027 · doi:10.1007/BF01095134
[6] G.V. Choodnovsky : Analytic methods in diophantine approximations (in Russian) , Institute of Mathematics, Ukrainian SSR Academy of Sciences, Preprint IM-74-9, Kiev (1974).
[7] A.O. Gelfond : Transcendental and Algebraic Numbers, GITTL, Moscow, 1952 [English translation: Dover, New York, 1960]. · Zbl 0090.26103
[8] A.O. Gelfond and N.I. Feldman : On the measure of relative transcendence of certain numbers (in Russian) , Izv. Akad. Nauk SSSR, Ser. mat. 14 (1950) 493-500. · Zbl 0038.19301
[9] K. Mahler : An application of Jensen’s formula to polynomials , Mathematika 7 (1960) 98-100. · Zbl 0099.25003 · doi:10.1112/S0025579300001637
[10] M. Mignotte and M. Waldschmidt : Linear forms in logarithms and Schneider’s Method . Math. Ann. 231 (1978) 241-267. · Zbl 0349.10029 · doi:10.1007/BF01420244
[11] R. Tijdeman : On the algebraic independence of certain numbers , Nederl. Akad. Wet. Proc. Ser. A 74= Indag. Math. 33 (1971), 146-162. · Zbl 0212.07103
[12] R. Tijdeman : An auxiliary result in the theory of transcendental numbers , J. Number Theory 5 (1973), 80-94. · Zbl 0254.10027 · doi:10.1016/0022-314X(73)90060-7
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